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Finding the Fourth Proportional to 12,323.64, 18,487.80 and 4,002.96

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Solution

The fourth proportional to 12,323.64, 18,487.80 and 4,002.96 is: 6,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.64 : 18,487.80 = 4,002.96 : x
  2. Step 2: Convert to fraction form
    12,323.64/18,487.80 = 4,002.96/x
  3. Step 3: Cross multiply
    12,323.64x = 18,487.80 × 4,002.96
  4. Step 4: Simplify right side
    12,323.64x = 74,005,923.89
  5. Step 5: Solve for x
    x = 74,005,923.89/12,323.64
  6. Step 6: Final answer
    x = 6,005.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.